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Finding the Fourth Proportional to 477.16, 715.74 and 286.00

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Solution

The fourth proportional to 477.16, 715.74 and 286.00 is: 429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.16 : 715.74 = 286.00 : x
  2. Step 2: Convert to fraction form
    477.16/715.74 = 286.00/x
  3. Step 3: Cross multiply
    477.16x = 715.74 × 286.00
  4. Step 4: Simplify right side
    477.16x = 204,698.78
  5. Step 5: Solve for x
    x = 204,698.78/477.16
  6. Step 6: Final answer
    x = 429.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.